R Dennis Cook

(Author)

An Introduction to Envelopes: Dimension Reduction for Efficient Estimation in Multivariate StatisticsHardcover, 9 October 2018

An Introduction to Envelopes: Dimension Reduction for Efficient Estimation in Multivariate Statistics
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Part of Series
Wiley Probability and Statistics
Part of Series
Wiley Series in Probability and Statistics
Print Length
320 pages
Language
English
Publisher
Wiley
Date Published
9 Oct 2018
ISBN-10
1119422930
ISBN-13
9781119422938

Description

Written by the leading expert in the field, this text reviews the major new developments in envelope models and methods

An Introduction to Envelopes provides an overview of the theory and methods of envelopes, a class of procedures for increasing efficiency in multivariate analyses without altering traditional objectives. The author offers a balance between foundations and methodology by integrating illustrative examples that show how envelopes can be used in practice. He discusses how to use envelopes to target selected coefficients and explores predictor envelopes and their connection with partial least squares regression. The book reveals the potential for envelope methodology to improve estimation of a multivariate mean.

The text also includes information on how envelopes can be used in generalized linear models, regressions with a matrix-valued response, and reviews work on sparse and Bayesian response envelopes. In addition, the text explores relationships between envelopes and other dimension reduction methods, including canonical correlations, reduced-rank regression, supervised singular value decomposition, sufficient dimension reduction, principal components, and principal fitted components. This important resource:

- Offers a text written by the leading expert in this field

- Describes groundbreaking work that puts the focus on this burgeoning area of study

- Covers the important new developments in the field and highlights the most important directions

- Discusses the underlying mathematics and linear algebra

- Includes an online companion site with both R and Matlab support

Written for researchers and graduate students in multivariate analysis and dimension reduction, as well as practitioners interested in statistical methodology, An Introduction to Envelopes offers the first book on the theory and methods of envelopes.

Product Details

Author:
R Dennis Cook
Book Format:
Hardcover
Country of Origin:
US
Date Published:
9 October 2018
Dimensions:
23.11 x 15.75 x 2.03 cm
ISBN-10:
1119422930
ISBN-13:
9781119422938
Language:
English
Pages:
320
Publisher:
Weight:
635.03 gm

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